Information on Result #3141369
There is no digital (22, 43, 63)-net over F2, because 1 times m-reduction would yield digital (22, 42, 63)-net over F2, but
- extracting embedded orthogonal array [i] would yield linear OA(242, 63, F2, 20) (dual of [63, 21, 21]-code), but
- residual code [i] would yield linear OA(222, 42, F2, 10) (dual of [42, 20, 11]-code), but
- adding a parity check bit [i] would yield linear OA(223, 43, F2, 11) (dual of [43, 20, 12]-code), but
- residual code [i] would yield linear OA(222, 42, F2, 10) (dual of [42, 20, 11]-code), but
Mode: Bound (linear).
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.